{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot all detected pairwise interactions found by UCB algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9438502673796791\n",
      "0.9438502673796791\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.8957219251336898\n",
      "0.8957219251336898\n"
     ]
    },
    {
     "data": {
      "image/png": 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eK7Tn8J52DwkA2ibXNfypbM/hPbrlu7foldOvSJL6X+7XLd+9RZJ05QVXtnFkANAehT3D335g+8/D/oxXTr+i7Qe2t2lEANBehQ38gZcHJrQeAIqusIG/7Oxq3wZRez0AFF1hA3/LJVs0u2P2qHWzO2ZryyVb2jQiAGivwt60PXNjdvuB7Rp4eUDLzl6mLZds4YYtgGQVNvClSugT8ABQUdhLOgCA0Qh8AEgEgQ8AiSDwASARBD4AJILAB4BEEPgAkAhHRLvHUJXtIUnPNGlziyU936RtTXfMxWjMx2jMx2jTcT7Oj4iuahVTNvCbyXY5IkrtHsdUwFyMxnyMxnyMVrT54JIOACSCwAeARKQS+DvaPYAphLkYjfkYjfkYrVDzkcQ1fABAOmf4AJA8Ah8AElHowLe93vZB2z+2vbXd42k123fZHrT95Ih1i2zvs30oe1zYzjG2ku1zbT9o+we2n7K9JVuf5JzYnm37v2x/P5uPP8vWv9X2w9nr5p9sz2r3WFvFdoftR21/MysXai4KG/i2OyT9taRfl3SRpI/bvqi9o2q5r0paP2bdVkl9EbFKUl9WTsUpSX8YERdJeq+k38+OiVTn5FVJH4yIX5G0RtJ62++V9CVJX46IX5L0U0m/08YxttoWST8cUS7UXBQ28CW9W9KPI+JwRLwm6R8lbWjzmFoqIr4t6SdjVm+Q1Jst90ra2NJBtVFE9EfEgWz5Z6q8sN+iROckKl7KijOzn5D0QUn3ZuuTmQ/bKyRdKWlnVrYKNhdFDvy3SHp2RPlIti51SyOiP1sekLS0nYNpF9srJV0s6WElPCfZJYzHJA1K2ifpaUkvRsSprElKr5s7JP2RpOGs/Isq2FwUOfAxjqi8Jze59+XanivpnyV9OiL+d2RdanMSEacjYo2kFar8Vfy2Ng+pLWx/WNJgROxv91gmU5H/iflRSeeOKK/I1qXumO3lEdFve7kqZ3bJsD1TlbD/+4j4RrY66TmRpIh40faDki6VtMB2Z3Zmm8rr5n2SPmL7Q5JmS5onabsKNhdFPsN/RNKq7C77LEnXStrd5jFNBbsl9WTLPZJ2tXEsLZVdk/07ST+MiNtHVCU5J7a7bC/IludIWqfKfY0HJX00a5bEfETETRGxIiJWqpIVD0TEJ1SwuSj0J22z39Z3SOqQdFdEfLHNQ2op2/8g6QOqfMXrMUl/Kuk+SfdIOk+Vr5++OiLG3tgtJNvvl/QdSU/o9eu0f6LKdfzk5sT2alVuRHaocvJ3T0TcavsCVd7ksEjSo5J+MyJebd9IW8v2ByR9NiI+XLS5KHTgAwBeV+RLOgCAEQh8AEgEgQ8AiSDwASARBD4AJILAB4BEEPgAkIj/B/9UN6yyIi86AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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bsYKqJUvY/uul1MyeBW/F/z6i6sUVVD+2hG1PLaV2ziysBH1IZUsrty7fWcDj7v52zP6lCO7UXXgBTTfdgg8dSvMl06i9bHrhx+1CH9tvDH00TZ1G3YzIfUjFSyW3Lm+dQ4DD0bd0PaJ6/jxa64fS+tnPAdAy+QKqXl1J1VNPRuujZv48PKeP5skXYJH7kMpnseYASnLrngdeJ3wT9yKw0t1Py1tvJnA58GF335TfTkdGjBjpDcuWRxlrpdJ8TlIuRn1qJL/97fJOX+w0c+va/AvwSFcKk4j0Pqnl1iXrHQ4ciq5tEpEC0s6tWwFov11ECtKsBCKSSSpOIpJJKk4ikkkqTiKSScqtqyAtpb4ICagyfZ8h6dCek4hkkoqTiGSSipOIZJKKk4hkkoqTiGSSipOIZFKauXVmZlPM7GUz22Jmq81sjpkNSGsMIlI+0rzO6UJgFnA18ARwMPADYChweorjEJEykOZh3deAX7r7/3b3x939NuB7wClmtnuK4+jVbM0a+h0y/H2Bl/0OGR49VLNvXqhm33IL1VyzhrqDPvK+bag76CPltQ1lLs3culrg3byHbiJMoaLLjlPi9fU0TZpMnysvB6DPlZfTVOJQzdpyDNWsr6flvPOp+U7YhprvzKDlG5PKaxvKXMxper8ALAS+lJNbdzsht26pmZ0P3ECYwvfXwIHAXcCz7j6+UPuaprew5pbW4lZsamK3o4+i+Zxzqbnjdrb+5vmic+WK/vOVpib6fnrkjj62PfdCUX1UZWma3qYm6j45gpZx46m+Yx6Ny1cofy+SYqbpjXbOyd0XmVlbbt0b5OXWufu/mVl/4AF27rHdB5wXawxSpNpaGq+9jt1O/SJbH1xY8lDNbeUaqllbS/N1N1B38kk0PvJoeW5DGUstt87MzgauAq4EjgPGA0cB8ztqTKGapVO9aGEIvHzl5RL2Uf6hmlULk/DRl8p3G8pVKrl1ZlYFzAFmu/u17v6Uu/8EmACMNbMjO2hPoZol0BZ4ufXJZ6idXZrAS0v62P7UUmrmlCa4s9RsxQqqHlvM9qefpWb2LWW5DeUsrdy6QcCewIq8h7yQ/BwecxzSCXf6XPRNGm+4OQReXlKCwMskVLMxCdVsLsdQTXdqp5xP802zYOhQmi+ZTu2l03p6VL1KtOKU5Nb9FFgEHANsAOYm/70O2ALk7yGNSH6uijUO6VzN/Hm01tfTkgReNp13PlWvvRo18LK6nVDN2MGdpVZ9+zx8aE746PkhGNTKaBvKXcxv624knEc6zN3fSuKingImuPsCM7uFsFd1DdBA2Fv6HrAaGOXunX7VpG/rCiv627puKPVkc5n6tk5KJrVv63Jy68bm5taZWVtu3RJgBrAeGEtI/F1HOD91ZaHCJCK9T6q5dYS9pmti9CkilU2zEohIJqk4iUgmqTiJSCapOIlIJqk4iUgmKVSzgtRU63eNVA69m0Ukk1ScRCSTVJxEJJNUnEQkk1ScRCSTVJxEJJNSLU5mNjFJY9luZivNbEya/YtI+Ugz8fds4DbgXuBUQlLLnWb2pbTGICLlI82LMGcCd7n7jOT+o2Y2FPg+IYVFRGSHNEM1DwIW5z30UeAwMxsWYxwiUjmiFCd338TOJJXTAZJQzZOBcwhpLAY05j207f5HY4xDRCpHtHNO7r6IEGgw18yOICdU0903EgIPjsp72CeTn//YXpvKrRPpvVIL1QT+D3CemX3FzAYmJ8jHJv/X7hziyq0T6b1SCdVMXAM8DNxD2Iu6lXCSHOC/Y45DRMpfWqGauPsWdz8T2Bv4OLAvIa+uEXg+5jhEpPylFaq5g7u/7e4vEYrSZOAX7v63WOMQkcoQ8zqn7xP2ik509y1mNg54yszGJaGapwDDgJXAXsBE4FDCt3kiIu+TZqhmM3AecCCwjbCHda67/yXGGESksqQZqrmW8CcrIiIFaVYCEckkFScRySQVJxHJJBUnEckkFScRySQVJxHJJBUnEckkFScRySQVJxHJJBUnEckkFScRyaRYAQcjzWyBmb1mZq1mtqCD9fqY2U1m9lcz22xmD5nZ/jHGICKVJdae0yjCHE7P0fmslrOBccA04AxgELA4mQtKRGSHWPM5zXH3HwGY2fL2VjCz/QgJLePd/c5k2e+APwNjgNsjjUVEKkDBPadiMuncvd2AgjyfT37e27YgmcvpaWB0VwYtIpWvYHEqlEnn7luK7OtQYG0SgpBrZfJ/IiI7FHVY5+6LzKwtk+4NcjLputDXQGBTO8s3Jv8nIrJDV06Id5ZJVxIK1RTpvYouTgUy6YqxEfiHdpYPTP6vvT4VqinSSxVdnDrLpCvSq0C9me2et/zQ5P9ERHYoqjgVm0lXwKPJzy/ntLsPcCzwSBfbEpEKV+x1ToUy6QYDxyXrDgSGmdkZAO7+i+TnWjObT4iKMmAdIY58NfDvsTZIRCpDweJUZCbdgcB/5DzsAOD4tiZyll9EOKl+M9APeBI42923dXM7RKTCFCxOXciks/x12nnMduCS5CYi0iHNSiAimaTiJCKZpOIkIpmk4iQimaTiJCKZZO7e02MoipmtI1wTVaxBwPoSDSetPrQNPd9+Gn30xm0Y5u6d/k1a2RSnrjKz5e4+spz70Db0fPtp9KFtaJ8O60Qkk1ScRCSTKrk4dfUPk7PYh7ah59tPow9tQzsq9pyTiJS3St5zEpEypuIkIplU0cWp2CTibrR/npktNrO3zexdM2sws88XfmTR7V+QzKG+0cy2mNnvk2UFZ4DYxf6OMLMWM4t2PYyZzTQzb+d2Uqw+kn76mdl1ZvaGmW0zs9fN7NJIba/qYBvczIZE6sPMbIqZvZy81qvNbI6ZDYjRftLHxCTObbuZrTSzMd1oq+Qp37FCNbOqLYn4WaB/Cdq/AlgI/JgwT9UYYKGZfcnd74/Q/kDgl8DvgC3AicCthLmwbozQ/g5JwbuVMAlg7PfFu0B+MVoZq3EzqwYeJkyIeAWwBhgO7Bmpiy8T5s7PNQ9oaZvjLIILgVnA1cATwMHAD4ChwOndbdzMzgZuA64HfkXIirzTzN5z9/t2ocliP1uzCeneU9k5weRiM/t4wXnc3L1ib0BVzr+XAwsitz+onWXPAI+XcJvuAn5XgnbHAn8ifCDWR2x3Zsz2OuhjMiEkY69S9pPT395AM3BZxDafBe7JW3YR0ALsHqH914D/m7fsHuClXWyv4GcL2C95nr6es2xfoBH4RqE+yvawLmIScXfab+/w5wVgnxjtd/DQd4C6WNuQ3O8PXAdMI7xxitKNbShakX2MB+5297+WqP18ZxJOifw8Yh+1hD3MXJsIkzh2ehhfZPsHAYvzHvoocJiZDetqe0V+trqX8p3Gb5oS/gb7AuDA6cn9cwm/aY5uZ90u7zl1pf2cxzwPPBCzfcJh1h7JC7oJuDDmNgA3AI8l/55JF/Z0CrWftNdM+LurJkLx/kqs14FQqJuAqwh7lVsJH/KfAB8qxetM2DtuiPleIiQbvQd8kXCYdATwCnBHhOdoYPJ/Z+U95txk+Uml+GwRDiFXtbP8x8DLBbepK09wFm+E4+i3kxdzE3BdB+vt0mFdse0n645PXtATYrVPOITwnNvVMbcBOIRwPuvjyf2ZdPEwrED7YwjTMp8AnAY8lGxHVwtUu30AQ5L2/g7cB3wOmEBICLq7BO+jYUArXfgF0YXX+tKkALS91r8EaiO9Du8AN+Wt/29JP18rxWeLcF5uRTvLvw+8WXB7uvoEZ+1G2KN4HdgGvAT06coTGLH9EYST4rNitk/YaxpJCIyYmax3aaw+CCf0/zXn/q4Up6Keo2RdI6RGf+BNuyt9EA6hHXgj94MMfD1ZPjzy63wZYU/wwzHfS8DZhAJ7OfA/CXsqa4E7I7V/DWHP7CuEPamzk/sf2KOK9dnq9cUp2djZyZM8tZN1dvmEeKH2CWkz/w3cD1SXYvw5636XcOjSr7t9EA4T/05IzxmQ3H5I+C07oLMi081tmE7Y++jSc9XBNvRLlv0sb939kuWnRn4fvQAsjvleJZy/Wg9ck7du26HVkd3dhuR5upude2XvEM4xOnB8N5+Tzg7r/tzO8l5zWHcU4ZzD88kTvndXnsDutg/sBfwRWNbVgtGV8eesf0ryZjmwu30AF/P+Q8b825Ul2oZphMOXootTZ30Aq4Cf561fn2zDybG2gXAI7MD4mO/V5D3kwFfbeW99YHk3t+HDwMeAvoSv+LfTwbm57n62CKc5msn7thF4jLxvJtttd1ee5Kzckif4FeBBwm+GPwL3d+UJ7E77hN3e5cnywaUcf85jriXsZhdVCDvrg7B3cXzebQHhhPLxhAnBom4DOw/rno/4OtxKuLapLmfZOEIBHBprGwiHvNuBATFf6+Q52Qxcm/eY0YTidFQJXocqYAlwV6k+W+y8lGBMzrJ9KPJSgi49wVm7ES5E3AAMSe6PSt6Q45L7gwm/Hc4A/gt4vO1+pPYfTZ7orwGfzr1Fav85YArhJO8XgVsIv8l+GOs5amf9mXTt27pC2/Ak4XqdzxMuZnyYcEh3WsQ+hhFO2D6QfKAnEa57mhfzOSJcOHpfid6rtxB+6VwF/DMwEXiTUMirIrR/CvDNpO2zCHsvfwH2LeVni3BSfT3hOrqTCNdz/RHoW3CbduWJzsIt58n6Wt7yG5I3atteQbuHLJHa7/CQKFL784A/EL5NW5+8UceQzCYRo492HjOTIotTkdswn3BSdSth7+DXwOiYr3Nyf2TS9lbCN0yzivoAFN/+4XRy8jjC89SHcHX7q8nrvZowDUnBC0uLbP8kdv6lwQbgZ3SwVxnzs5Vs182Eq8M3E345faSY501TpohIJpXtFeIiUtlUnEQkk1ScRCSTVJxEJJNUnEQkk1ScRCSTVJxEJJNUnEQkk/4/76QMcb5kA9UAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9628571428571429\n",
      "0.9628571428571429\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9256756756756757\n",
      "0.9256756756756757\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7073732718894009\n",
      "0.7073732718894009\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9942857142857142\n",
      "0.9942857142857142\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9733333333333334\n",
      "0.9733333333333334\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9679144385026739\n",
      "0.9679144385026739\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9117647058823529\n",
      "0.9117647058823529\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9828571428571429\n",
      "0.9828571428571429\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9459459459459458\n",
      "0.9459459459459458\n"
     ]
    },
    {
     "data": {
      "image/png": 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/S/pbSa9L+mNJdZUeb2ZmoyfvJ4J1wO6IWAjszsY9SGoE1gNLgFuB9WWBsToifh64CWgC7srZj5mZDVHeIFgJbM2WtwKrKsxpBnZFxLGIOA7sApYDRMQ/ZXPqgSuAyNmPmZkNUd4gmB0RXdnyEWB2hTnzgINl40NZDQBJHcBR4B3g8b42JGmNpE5Jnd3d3TnbNjOzCwYMAklPSXqtwm1l+byICIbxHX1ENANzgSuBj/czrz0iChFRaGpqGupmzMysDwP+YZqIWNrXOklvSpobEV2S5lL6zr63w8BtZeP5wDO9tnFa0nZKh5p2DaJvMzMbIXkPDe0ALlwF1AJsrzCnA1gmaWZ2kngZ0CFpWhYeSKoHVgB/n7MfMzMborxB8BBwh6R9wNJsjKSCpC0AEXEMeBB4IbttyGpTgR2SXgFepvRp4o9z9mNmZkOk0qH92lIoFKKzs7PabZiZ1RRJeyKi0Lvunyw2M0ucg8DMLHEOAjOzxDkIzMwS5yAwM0ucg8DMLHEOAjOzxDkIzMwS5yAwM0ucg8DMLHEOAjOzxDkIzMwSl2YQvLINvnoTFGeU7l/ZVu2OzMyqZsA/TDPhvLINvr8Wzpwqjd8+WBoDLFpdvb7MzKokvU8EuzdcCoELzpwq1c3MEpReELx9aGh1M7MJLr0gmD5/aHUzswkuvSC4/YvQMKVnrWFKqW5mlqD0gmDRarhzM0y/FlDp/s7NPlFsZslK76ohKL3p+43fzAxI8ROBmZn1kCsIJDVK2iVpX3Y/s495LdmcfZJaKqzfIem1PL2Ymdnw5P1EsA7YHRELgd3ZuAdJjcB6YAlwK7C+PDAk/Qrwbs4+zMxsmPIGwUpga7a8FVhVYU4zsCsijkXEcWAXsBxA0jTgPuBLOfswM7NhyhsEsyOiK1s+AsyuMGcecLBsfCirATwI/A/gvYE2JGmNpE5Jnd3d3TlaNjOzcgNeNSTpKWBOhVVfKB9EREiKwW5Y0s3Av4yI/yRpwUDzI6IdaAcoFAqD3o6ZmfVvwCCIiKV9rZP0pqS5EdElaS5wtMK0w8BtZeP5wDPAR4GCpJ9kfcyS9ExE3IaZmY2ZvIeGdgAXrgJqAbZXmNMBLJM0MztJvAzoiIg/iohrImIB8DHgHxwCZmZjL28QPATcIWkfsDQbI6kgaQtARByjdC7ghey2IauZmdk4oIjaO9xeKBSis7Oz2m2YmdUUSXsiotC77p8sNjNLnIPAzCxxDgIzs8Q5CMzMEucgMDNLnIPAzCxxDgIzs8Q5CMzMEucgMDNLnIPAzCxxDgIzs8Q5CMzMEucgMDNLnIPAzCxxDgIzs8Q5CMzMEucgMDNLnIPAzCxxDgIzs8Q5CMzMEucgMDNLnIPAzCxxuYJAUqOkXZL2Zfcz+5jXks3ZJ6mlrP6MpL2SXs5us/L0M1g7D+xk2ePLWLR1EcseX8bOAzvHYrNmZuNS3k8E64DdEbEQ2J2Ne5DUCKwHlgC3Aut7BcZnI+Lm7HY0Zz8D2nlgJ8XninSd7CIIuk52UXyu6DAws2TlDYKVwNZseSuwqsKcZmBXRByLiOPALmB5zu0O26YXN3H63OketdPnTrPpxU1V6sjMrLryBsHsiOjKlo8AsyvMmQccLBsfymoX/M/ssNDvSlJfG5K0RlKnpM7u7u5hN3zk5JEh1c3MJroBg0DSU5Jeq3BbWT4vIgKIIW7/sxHxc8AvZ7d7+poYEe0RUYiIQlNT0xA3c8mcqXOGVDczm+gGDIKIWBoRN1W4bQfelDQXILuvdIz/MHBt2Xh+ViMiLty/A/wvSucQRlXr4lYm103uUZtcN5nWxa2jvWkzs3Ep76GhHcCFq4BagO0V5nQAyyTNzE4SLwM6JNVLuhpAUgPwSeC1nP0MaMV1Kyj+YpG5U+cixNypcyn+YpEV160Y7U2bmY1L9Tkf/xCwTdLngH8EVgNIKgC/GRH3RsQxSQ8CL2SP2ZDVplIKhAagDngK+JOc/QzKiutW+I3fzCyj0qH92lIoFKKzs7PabZiZ1RRJeyKi0Lvunyw2M0ucg8DMLHEOAjOzxDkIzMwS5yAwM0ucg8DMLHE1efmopG5KP7eQ19XAWyPw70wU3h89eX9c4n3RU63uj38REZf9jp6aDIKRIqmz0jW1qfL+6Mn74xLvi54m2v7woSEzs8Q5CMzMEpd6ELRXu4FxxvujJ++PS7wveppQ+yPpcwRmZuZPBGZmyXMQmJklLskgkLRc0l5J+yWtq3Y/1SDpEUlHJb1WVmuUtEvSvux+ZjV7HCuSrpX0tKQfSXpdUmtWT3V/TJb0Q0l/m+2Ptqz+YUnPZ/9vHpV0RbV7HSuS6iS9JOkvsvGE2hfJBYGkOuDrwCeAG4BflXRDdbuqim8By3vV1gG7I2IhsDsbp+As8J8j4gbgF4D/mH1NpLo//hn4eET8PHAzsFzSLwBfAb4aER8BjgOfq2KPY60V+Luy8YTaF8kFAaW/i7w/Ig5ExPvAnwErq9zTmIuI/wsc61VeCWzNlrcCq8a0qSqJiK6IeDFbfofSf/h5pLs/IiLezYYN2S2AjwOPZ/Vk9oek+cAKYEs2FhNsX6QYBPOAg2XjQ1nNYHZEdGXLR4DZ1WymGiQtAG4Bnifh/ZEdCnkZOArsAn4MnIiIs9mUlP7ffA34L8D5bHwVE2xfpBgENghRuq44qWuLJU0D/hz47Yj4p/J1qe2PiDgXETcD8yl9iv7ZKrdUFZI+CRyNiD3V7mU05f3j9bXoMHBt2Xh+VjN4U9LciOiSNJfSd4NJkNRAKQT+NCKeyMrJ7o8LIuKEpKeBjwIzJNVn3wmn8v/ml4BPSfq3wGTgg8AmJti+SPETwQvAwuys/xXA3cCOKvc0XuwAWrLlFmB7FXsZM9kx328CfxcRD5etSnV/NEmakS1PAe6gdN7kaeDT2bQk9kdEPBAR8yNiAaX3ih9ExGeZYPsiyZ8sztL9a0Ad8EhE/F6VWxpzkr4L3Ebp1+m+CawHngS2AR+i9Gu+V0dE7xPKE46kjwH/D3iVS8eB/yul8wQp7o9FlE6A1lH6ZnFbRGyQdB2liysagZeAX4uIf65ep2NL0m3A70TEJyfavkgyCMzM7JIUDw2ZmVkZB4GZWeIcBGZmiXMQmJklzkFgZpY4B4GZWeIcBGZmifv/KvnPzZBPdbkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5829493087557603\n",
      "0.5829493087557603\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.98\n",
      "0.98\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9911111111111112\n",
      "0.9911111111111112\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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nlbpX7eNO73P+jXem/4itAwfRcNpUdr/w30vdKykzqdSty1tnKHAg+pauWbvcdjNbBwxi86GHA7B+/GRqXnyBrnV/KHHPCtfjtptpHDiId5NtWHfqJLq89Dzd5pfPNkjpWaw5kpK6dU8DrxC+iVsELHH3UXnrTQPOA/Z094b8OC05aHit1y14MkpfS0XzObVN8zlVhxGH1PLUUwvzi+x+SJp165r8M/D79iQmEak+qdWtS9Y7ENgPXdskIm1Iu27dn4FWh3IiIqBZCUQko5ScRCSTlJxEJJOUnEQkk8qmbp0BZuV9Lj2N65CKTdchSVo0chKRTFJyEpFMUnISkUxSchKRTFJyEpFMUnISkUxKs26dmdkUM/urmW0ys6VmNsPMeqbVBxEpH2le53Q6cDUwHXgM+ARwKTAYGJ1iP0SkDKSZnL4B3OXuFyb3HzWzrsBVZrazu29MsS8iknFp1q2rAdbmPbSB5OLvGP0QkcoRJTkls1pOAMaa2WiAnLp1pyQzY/4cONHMvmpmPZLyUecCs5LCCCIi20Q7rHP3OWbWVLduGXl169z9OjPrAdzL9qR4NzA5Vh9EpHKkVrfOzE4GLgDOB74IjAcOBm5qKVhuUc1VVVZUU6TapVK3zsw6ATOAa9z9Mnd/3N1/wfZDwYNaiLetqGafKiqqKSLp1a3rDewB/DnvIc8kP/eJ2Q8RKX/RklNSt+4WYA4wElgNzEz+vArYBOSPkIYnP1+L1Q8RqQwxr3Nqqlt3uLtvSurVPW5m49x9VnKyfKqZbQLqCKOli4AFwFMR+yEiFSBKcsqpWzc2t26dmTXVrXuIcNlAPTCWUPF3FeH81Pnu/kGMfohI5Ui1bh1wSXITEWmVZiUQkUxSchKRTFJyEpFMUnISkUxSchKRTCqbopoisby9bktR4/fdtWtR41cLjZxEJJOUnEQkk5ScRCSTlJxEJJOUnEQkk5ScRCSTUk1OZjYxqcayxcyWmNmYNNsXkfKRZsXfk4EbgDuBY4EHgFvN7Li0+iBSqM6vL2evYUPptGY1ANawhr2GDaXzstdK27EqkubIaRpwu7uf6+4PuvtU4C7CJHUimbJ1wCDWnzqJnv9xPgA9/+N8NnxzAlsH713ajlWRNItq/i0wN++hDwL7m9mQGP0QiWn9t8+gy8I/0eP6GXRdMJ91U6aWuktVJdZkcw1mNgF4wMxmu/tvc4pqjiRUYzHgvbyHNt3/JLA0Rl9EoqmpoeGiy+h7wrG8/Zv7oKam1D2qKtEO69x9DqGgwcykmu+2opruvoZQ8ODgvIf9ffJz9+Ziqm6dlFq3h+bQuGd/ap5fXOquVJ3UimoC1wOTzezrZtYrOUE+Nvlbs3OIq26dlFLNs4vo9tjDvPXgPHpcdw2d3lxZ6i5VlVSKaiYuAe4HZhNGUdcSTpIDvBmzHyId5s7uZ51BwyVXsHXgYNZN+R69Ljy31L2qKmkV1cTdN7n7iYTyUZ8GBhDq1b0HPB2zHyIdtfOtN9E4cBCbD/syABsmTKbmxRfoWvd4iXtWPczd4wQKRTWfBl4BTgQWAUvcfVQL63cifFv3lrv/S1vxhw+v9bo/LozSV6lums+p9EYcUstTTy201tZJs6jmMcAQYAnQF5gI7AecErEPIlIh0iyq2QhMBvYFNhPKlp/q7q/H6IOIVJY0i2quIPzLiohImzQrgYhkkpKTiGSSkpOIZJKSk4hkkurWSdXRdUjlQSMnEckkJScRySQlJxHJJCUnEckkJScRySQlJxHJpFgFDmrNbJaZvWBmH5jZrBbW62pmPzGzt81so5n9zsz2jtEHEakssUZOIwiFDJ6k9VktrwHGAWcBxwO9gbnJXFAiItvEughzhrv/FMDMmp0RzswGAhOA8e5+a7LsL8CrwBjg55H6IiIVoM2RUyE16dy92QIFeY5Ift7ZtCCZy+l/gaPa02kRqXxtJid3byCMeMaa2WiAnJp0p7j7pgLb2g9YkRRByLUk+ZuIyDYFHda5+xwza6pJt4ycmnTtaKsX0NDM8jXJ30REtmnPCfHWatIVhYpqilSvgpNTGzXpCrEG2K2Z5b2SvzXXpopqilSpgpNTazXpCvQ8MMjMds5bvl/yNxGRbQpKTsl1SLcQKqaMJFTsndnOth5Mfn4tJ+5ewBeA37czlohUuEKvc2qrJl0f4IvJur2AIWZ2PIC7/yb5ucLMbiKUijJgFaEc+VLgv2NtkIhUhjaTU4E16fYFfp3zsI8DhzaFyFl+BuGk+pVAd2AecLK7b+7gdohIhWkzObWjJl2rpYWTx2wBvpfcRERapFkJRCSTlJxEJJOUnEQkk5ScRCSTlJxEJJPM3Uvdh4KY2SrCNVGF6g3UF6k7abWhbSh9/DTaqMZtGOLurf5PWtkkp/Yys4XuXlvObWgbSh8/jTa0Dc3TYZ2IZJKSk4hkUiUnp/b+Y3IW29A2lD5+Gm1oG5pRseecRKS8VfLISUTKmJKTiGRSRSenQisRdyD+ZDOba2ZvmdlaM6szsyPafmTB8b+TzKG+xsw2mdmzybI2Z4DYwfaGmdlWM4t2PYyZTTMzb+Z2ZKw2kna6m9nlZrbMzDab2Stmdk6k2K+1sA1uZv0jtWFmNsXM/po810vNbIaZ9YwRP2ljYlLObYuZLTGzMR2IVfQq37GKamZVUyXiBUCPIsT/AfAA8DPCPFVjgAfM7Dh3vydC/F7AXcBfgE3A4cC1hLmwfhwh/jZJwruWMAlg7NfFWiA/GS2JFdzMOgP3EyZE/AGwHNgH2CNSE18jzJ2f60Zga9McZxGcDlwNTAceAz4BXAoMBkZ3NLiZnQzcAPwIeIRQK/JWM9vg7nfvQMhC31vXEKp7T2X7BJNzzezTbc7j5u4VewM65fy+EJgVOX7vZpbNBx4t4jbdDvylCHHHAi8T3hD1EeNOixmvhTa+RSiS0beY7eS01w9oBL4fMeYCYHbesjOArcDOEeK/ANyWt2w28NwOxmvzvQUMTPbTN3OWDQDeA/61rTbK9rAuYiXijsRv7vDnGWCvGPFbeOg7QJdY25Dc7wFcDpxFeOEUpAPbULAC2xgP3OHubxcpfr4TCadEfhWxjRrCCDNXA2ESx1YP4wuM/7fA3LyHPgjsb2ZD2huvwPdWx6p8p/FJU8RPsH8EHBid3D+V8EnzuWbWbffIqT3xcx7zNHBvzPiEw6xdkie0ATg95jYAVwAPJ79Pox0jnbbiJ/EaCf939T4heX891vNASNTvAxcQRpXvEt7kvwB2LcbzTBgd18V8LREqG20Avko4TBoGLAZujrCPeiV/OynvMacmy48sxnuLcAj5WjPLfwb8tc1tas8OzuKNcBz9VvJkNgCXt7DeDh3WFRo/WXd88oQeFis+4RDCc27TY24DMJRwPuvTyf1ptPMwrI34YwjTMh8GjAJ+l2xHexNUs20A/ZN464G7ga8AEwgVgu4owutoCPAB7fiAaMdzfU6SAJqe67uAmkjPwzvAT/LWvy5p5xvFeG8Rzsv9uZnlFwNvtLk97d3BWbsRRhSvAJuB54Cu7dmBEeMPJ5wUvzpmfMKoqZZQMGJast45sdognND/r5z7O5KcCtpHybpGqBr9kRftjrRBOIR2YFnuGxn4ZrJ8n8jP8/cJI8E9Y76WgJMJCfY84B8II5UVwK2R4l9CGJl9nTCSOjm5/5ERVaz3VtUnp2Rjr0l28tRW1tnhE+JtxSdUm3kTuAfoXIz+56z7Q8KhS/eOtkE4TFxPqJ7TM7n9J+FTtmdrSaaD23A2YfTRrn3VwjZ0T5b9Mm/dgcnyYyO/jp4B5sZ8rRLOX9UDl+St23RodVBHtyHZT3ewfVT2DuEcowOHdnCftHZY92ozy6vmsO5gwjmHp5Md3q89O7Cj8YG+wEvAH9ubMNrT/5z1j0leLPt2tA3gu3z4kDH/dn6RtuEswuFLwcmptTaA14Bf5a0/KNmGo2NtA+EQ2IHxMV+ryWvIgROaeW19ZHkHt2FP4ACgG+Er/i20cG6uo+8twmmORvK+bQQeJu+byWbj7shOzsot2cGLgfsInwwvAfe0Zwd2JD5h2LswWd6nmP3PecxlhGF2QYmwtTYIo4tD826zCCeUDyVMCBZ1G9h+WPd0xOfhWsK1TV1ylo0jJMDBsbaBcMi7BegZ87lO9slG4LK8xxxFSE4HF+F56AQ8BNxerPcW2y8lGJOzbC8KvJSgXTs4azfChYirgf7J/RHJC3Jccr8P4dPheOD/gEeb7keK/2Cyo78BfDb3Fin+k8AUwknerwJXET7J/jPWPmpm/Wm079u6trZhHuF6nSMIFzPeTzikGxWxjSGEE7b3Jm/oSYTrnm6MuY8IF47eXaTX6lWED50LgC8BE4E3CIm8U4T4xwCnJbFPIoxeXgcGFPO9RTipXk+4ju5IwvVcLwHd2tymHdnRWbjl7Kxv5C2/InmhNo0Kmj1kiRS/xUOiSPFvBF4kfJtWn7xQx5DMJhGjjWYeM40Ck1OB23AT4aTqu4TRwR+Ao2I+z8n92iT2u4RvmK4u6A1QePwDaeXkcYT91JVwdfvzyfO9lDANSZsXlhYY/0i2/6fBauCXtDCqjPneSrbrSsLV4RsJH05/U8h+05QpIpJJZXuFuIhUNiUnEckkJScRySQlJxHJJCUnEckkJScRySQlJxHJJCUnEcmk/wdHpgh5pn+vtgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9224598930481283\n",
      "0.9224598930481283\n"
     ]
    },
    {
     "data": {
      "image/png": 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P2346z8+8vv0iIiRFkftfKukdkv5E0mRJXyjUMSJWRURLRLQ0NzcXuRsAQCENQ3WIiMsLrbP9su3pEbHb9nRJe4rZeZ+jid/b/pakzxezPQCgdKWeGtogaWF2e6Gk9cVsnIWHbFu56wtPl1gPAKBIpQbBHZKusL1T0uXZsmy32L6nt5Ptn0laK2mO7V22W7NV37G9XdJ2SVMk/V2J9QAAijTkqaHBRMSrkubkae+QdGOf5Q8U2P6yUvaP6rTx+Y1a+eRKdb3VpWknTlPbhW2ae8bcSpcFoICSggAYaOPzG7Xsl8t04PABSdLut3Zr2S+XSRJhAFQppphAWa18cuWREOh14PABrXxyZYUqAjAUggBl1fVWV1HtACqPIEBZTTtxWlHtACqPIEBZtV3Ypqb6pn5tTfVNaruwrUIVARgKF4tRVr0XhHnXEDB2EAQou7lnzOWFHxhDODUEAIkjCAAgcQQBACSOIACAxBEEAJA4ggAAEkcQAEDiCAIASBxBAACJIwgAIHEEAQAkjiAAgMQlOenc3WsXa/2+dnU3WM2HQvMmtmrRdSsqXRYAVERyRwR3r12s+99s157GOoWtPY11uv/Ndt29dnGlSwOAikguCNbva9eBuv53+0Bdndbva69QRQBQWckFQXeDi2oHgFqXXBA0H4qi2gGg1iUXBPMmtqqpp6dfW1NPj+ZNbK1QRQBQWckFwaLrVmjB+FadcrBHjtApB3u0YDzvGgKQriTfPrrouhVaVOkiAKBKJHdEAADojyAAgMQRBACQOIIAABJHEABA4ggCAEgcQQAAiSMIACBxBAEAJI4gAIDEEQQAkDiCAAASV1IQ2J5se5Ptndnvk/L0Od/2r2w/Y/sp2x/us+5024/Zfs72D2yfUEo9AIDilXpEsETS5og4W9LmbHmg/5P0VxHxTklXSbrL9qRs3dcl3RkRZ0l6XdInS6wHAFCkUoNgnqTV2e3VkuYP7BAR/x0RO7PbL0naI6nZtiVdJumHg20PABhdpQbB1IjYnd3ukjR1sM62L5J0gqTfSjpZ0t6IOJSt3iVp5iDb3mS7w3ZHd3d3iWUDAHoN+cU0th+WNC3Pqlv7LkRE2C74xb+2p0u6X9LCiOjJHRAMX0SskrRKklpaWviCYQAokyGDICIuL7TO9su2p0fE7uyFfk+BfhMkbZR0a0T8Omt+VdIk2w3ZUcEsSZ1F3wMAQElK/arKDZIWSroj+71+YIfsnUAPSbovInqvB/QeQTwq6VpJ3y+0fT5btmx5xfYLJdYuSVMkvVKGv1MrGI/+GI+jGIv+xup4/FG+RkeM/CyL7ZMlrZF0mqQXJF0fEa/ZbpH0qYi40fZHJX1L0jN9Nv1YRGyzfYZyITBZ0lZJH42I34+4oOLr74iIluO1v2rHePTHeBzFWPRXa+NR0hFBRLwqaU6e9g5JN2a3H5D0QIHtn5d0USk1AABKwyeLASBxqQfBqkoXUGUYj/4Yj6MYi/5qajxKukYAABj7Uj8iAIDkEQQAkLhkg8D2VbZ3ZDOf5pssr6bZ/qbtPbaf7tM25Gyytcj2qbYftf1sNktuW9ae6ng02X7c9n9l4/G3WXuyswXbrre91faPs+WaGoskg8B2vaRvSPozSedK+gvb51a2quPu28rNBtvXcGaTrUWHJH0uIs6VdImkz2TPh1TH4/eSLouI90g6X9JVti9R2rMFt0n6TZ/lmhqLJINAuc8uPBcRz0fEH5T7UNu8Ctd0XEXEf0p6bUDzkLPJ1qKI2B0RT2a331DuH/xMpTseERFvZouN2U8o0dmCbc+SNFfSPdlyzc2cnGoQzJT0Yp/lQWc+TUhRs8nWItuzJV0g6TElPB7ZqZBtys0ftkm5GYOHPVtwjblL0t9I6smWi5o5eSxINQgwhMi9rzip9xbbHi/pR5Jujoj/7bsutfGIiMMRcb5yk0FeJOkdFS6pImxfLWlPRGypdC2jqdRJ58aqTkmn9llm5tOcYc0mW4tsNyoXAt+JiAez5mTHo1dE7M0mh3yv0pwt+H2SPmT7zyU1SZogaaVqbCxSPSJ4QtLZ2ZX/EyTdoNxMqqnrnU1WKmI22LEuO+d7r6TfRMSKPqtSHY/m3q+TtT1O0hXKXTfpnS1YSmQ8ImJpRMyKiNnKvU48EhEfUY2NRbKfLM4S/i5J9ZK+GRF/X+GSjivb35N0qXLT6b4s6auS1inPbLKVqvF4sf1+ST+TtF1HzwN/UbnrBCmOx3nKXQCtV+4/i2si4rZKzxZcabYvlfT5iLi61sYi2SAAAOSkemoIAJAhCAAgcQQBACSOIACAxBEEAJA4ggAAEkcQAEDi/h84qZHLjotbWQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9331550802139037\n",
      "0.9331550802139037\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9942857142857142\n",
      "0.9942857142857142\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9256756756756757\n",
      "0.9256756756756757\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7695852534562212\n",
      "0.7695852534562212\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9885714285714285\n",
      "0.9885714285714285\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9933333333333333\n",
      "0.9933333333333333\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9705882352941178\n",
      "0.9705882352941178\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9144385026737967\n",
      "0.9144385026737967\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9969135802469136\n",
      "0.9969135802469136\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VrG/N8+/BR47Enn2mLtuX2kqSW2dmTcD1wGx3v8LdH3H377P9VPADnbSnUM06ZUuX0nT//Wz+j8cZMHsWrF5dV+1L7aXKrRsO7AYsLdvkqeLP/WKOQ2rMnYHnnM3Wq6/FW1tpO286LV+Z0f12ubQvWUiVW7cG2ASUHyEdUvy5PNY4pPaab5rLtlGtbPvoUQC0f+Fsmp5fRtMjD9dF+5IHizV5mJl9h3Ad6SB3X13ERT0CTHT3eWZ2LeGo6nJgIeFo6RvACmC8u2/rqv1DDhnnCxcviTJW2XmabE5iGP/Bcfzyl0u6fCOi/LauJLfu9NLcOjPryK27n3DbwFrgdOCrhKOpu4BLuitMItL/JM2tIxw1XR6jTxFpbJqVQESypOIkIllScRKRLKk4iUiWVJxEJEsK1ZQe0T1CkoqOnEQkSypOIpIlFScRyZKKk4hkScVJRLKk4iQiWUpanMxsUpHGstnMlpnZaSn7F5H6kTLx91Tge8DtwCeAe4FbzOyTqcYgko2VKxl4wD47ZO8NPGAfZe+VSHnkNBO41d0vdPf73H0acAdwWcIxiORh1Cjap5zFgItC9t6Aiy6k/fOTlb1XImWo5gHAgrJN7wMOMrPRMcYhUk/avzSNpsWLaL5uFk2PPUq7svd2EGuyuQ1mNhG418xuc/d/LwnVPIyQxmLAlrJNO57/BWG6XpH+o6WFtiuvYuCxR7PlnvuUvVcm2mmdu88nBBrMKdJ83wrVdPf1hMCDQ8s2+6vizz+v1KZy66TRNd1bZO89o+y9cslCNYF/AqaY2YlmNqy4QH568W8V5xBXbp00Mlu6lKYHFrD50UUMmH2tsvfKJAnVLFwO3A3cRjiKuoFwkRzgP2OOQyR77rRMPYu2q2dBaytt582g5QJdcyqVKlQTd9/k7icDewDvBfYi5NVtAZ6MOQ6R3DXfOBdvLcneO+ts7PllmLL33hIzt24XQpH5HXAy8DSwzN2P72T9JsJv615x9//ZXfvKrRNpHMly6wqXEY6KjnT3TWY2AXjEzCYUoZrHAaOBZcDuwCTg3cDnIo5BRBpEylDNNmAKsD/wJiG2/Ax3/0OMMYhIY0kZqrmK8F9WRES6pVkJRCRLKk4ikiUVJxHJkoqTiGRJxUlEsqTiJCJZUnESkSypOIlIllScRCRLKk4ikiUVJxHJUqyAg3FmNs/MXjCzbWY2r5P1BpnZ1Wb2RzPbaGY/N7MxMcYgIo0l1pHTeEKQwRN0PavlbGACMB04CRgOLCjmghLpP1Lk1tV5Nl6s4nS9u+/v7qcBL1dawcz2BiYC09z9Fne/BziRMMeTkn+lf0mRW1fn2XjdFqdqMuncvWJAQZmPFX/e3rGgmMvpUeCYngxapBGkyK2r52y8budz6i6Tzt03VdnXu4FVRQhCqWXAET0ZtEhDSJFbV8fZeFWd1nWVSdeDvoYBGyosX1/8m0i/kyK3rl6z8XpyzamrTLo+oVBNaWQpcuvqORuv6uLUTSZdNdYD/63C8mHFv1XqU6Ga0phS5NbVeTZe1cWpq0y6Kj0PjDKzd5Qtf3fxbyL9RorcunrPxqsqt64nmXRmtgR4xt0nlC3fmxCiOcHdf1As27NYdra739jVGJRbJ9I4YubWdZdJNwI4vFh3GDDazE4CcPefFH+uMrObCFFRBqwhxJGvAH7Qs10TkUbXbXGqMpNuf+DfSjbbl+23B5RWx3MJF9WvAQYDDwOnuvubvdwPEWkw1dznVG0mXZeHaMU2m4HzioeISKc0K4GIZEnFSUSypOIkIllScRKRLKk4iUiWqroJMwdmtoZwT1S1hgNr+2g4qfrQPtS+/RR99Md9GO3uXf6ftLopTj1lZkvcfVw996F9qH37KfrQPlSm0zoRyZKKk4hkqZGL05wG6EP7UPv2U/ShfaigYa85iUh9a+QjJxGpYypOIpKlhi5O1SYR96L9KWa2wMxeMbPXzGyhmX2s+y2rbv/sYg719Wa2ycx+XSzrdgaInezvYDNrN7No98OY2Uwz8wqPo2P1UfQz2MyuNLOXzOxNM/udmV0Qqe3lneyDm9nISH2YmU01s2eL93qFmV1vZkNjtF/0MamIc9tsZsvMbKfzIlOkfFc72Vy96kgiXgQM6YP2LwbuBb5LmKfqNEKE1ifd/acR2h8G3AH8CtgEHAncQJgL6zsR2n9LUfBuIEwCGPtz8RpQXoyWxWrczJqBuwkTIl4MrAT2A3aL1MWnCHPnl5oLtHfMcRbBOcAs4FLgIeBA4JtAK3BCbxs3s1OB7wHfBn5ByIq8xcxed/c7d6LJar9bswnp3tPYPsHkAjN7b7fzuLl7wz6AppK/LwHmRW5/eIVljwEP9uE+3Qr8qg/aPR34LeELsTZiuzNjttdJH18ghGTs3pf9lPS3B9AGfCVim4uA28qWnQu0A++I0P4LwL+ULbuNMKX2zrTX7XcL2Lt4nT5bsmwvYAvw+e76qNvTuohJxL1pv9Lpz1PAnjHa72TTV4GBsfaheD4EuBKYTvjgVKUX+1C1Kvs4E/ixu/+xj9ovdzLhksiPIvbRQjjCLLWBMIljl6fxVbZ/ALCgbNP7gIPMbHRP26vyu9W7lO8UP2n68CfY3wMOnFA8P4Pwk+ZvKqzb4yOnnrRfss2TwM9itk84zdq1eEM3AOfE3AfgKuCB4u8z6cGRTnftF+21Ef7f1VZC8T4x1vtAKNRbga8RjirfIHzJvw+8sy/eZ8LR8cKYnyVCstHrwMcJp0kHA88BN0d4jYYV/3ZK2TZnFMuP7ovvFuEUcnmF5d8Fnu12n3ryAuf4IJxHv1K8mRuAKztZb6dO66ptv1j3zOIN/dtY7RNOIbzkcWnMfQDGEq5nvbd4PpMenoZ10/5phGmZ/xY4Hvh5sR89LVAV+wBGFu39CbgTOAqYCKwjHE3F/hyNBrbRgx8QPXivLygKQMd7fQfQEul9eBW4umz9fyz6+UxffLcI1+WWVlh+GfByt/vT0xc4twfhiOJ3wJvAM8CgnryAEds/hHBRfFbM9glHTeMIgREzi/UuiNUH4YL+/y55vjPFqarXqFjXCKnRb/vQ7kwfhFNoB14q/SIDny2W7xf5ff4K4UjwXTE/S8CphAL7VeAjhCOVVcAtkdq/nHBkdiLhSOrU4vnbjqhifbf6fXEqdnZ28SJP62Kdnb4g3l37hLSZ/wR+CjT3xfhL1v064dRlcG/7IJwm/omQnjO0eHyL8FN2aFdFppf7MINw9NGj16qTfRhcLPth2bp7F8s/Eflz9BSwIOZnlXD9ai1wedm6HadWH+jtPhSv04/ZflT2KuEaowNH9PI16eq07vcVlveb07pDCdccnixe8D168gL2tn1gd+BFYHFPC0ZPxl+y/nHFh2X/3vYBfJkdTxnLH5f00T5MJ5y+VF2cuuqDEMz6o7L1RxX7cGysfSCcAjtwZszPavEZcuDTFT5bb1vey314F/AeYBfCr/g308m1ud5+twiXOdoo+20j8ABlv5ms2O7OvMi5PIoX+DngLsJPhheBn/bkBexN+4TD3iXF8hF9Of6Sba4gHGZXVQi76oNwdHFE2WMe4YLyEYQJwaLuA9tP656M+D7cQLi3aWDJsgmEAtgaax8Ip7ybgaEx3+viNdkIXFG2zTGE4nRoH7wPTcD9wK199d1i+60Ep5Us25MqbyXo0Quc24NwI+I6YGTxfHzxgZxQPB9B+OlwEvD/gAc7nkdq/77ihf4M8Nelj0jtPwFMJVzk/ThwLeEn2bdivUYV1p9Jz35b190+PEy4X+djhJsZ7yac0h0fsY/RhAu2Pyu+0JMJ9z3NjfkaEW4cvbOPPqvXEn7ofA34O2AS8DKhkDdFaP844ItF26cQjl7+AOzVl98twkX1tYT76I4m3M/1IrBLt/u0My90Do+SF+szZcuvKj6oHUcFFU9ZIrXf6SlRpPbnAr8h/DZtbfFBPY1iNokYfVTYZiZVFqcq9+EmwkXVNwhHB/8BHBPzfS6ejyvafoPwG6ZZVX0Bqm///XRx8TjC6zSIcHf788X7vYIwDUm3N5ZW2f7RbP+fBuuAH9LJUWXM71axX9cQ7g7fSPjhtE81r5umTBGRLNXtHeIi0thUnEQkSypOIpIlFScRyZKKk4hkScVJRLKk4iQiWVJxEpEs/X+PSE9Q57ugOgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9121621621621623\n",
      "0.9121621621621623\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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LAdLIlCt2H8rFqwip5NblrbMvcAD6lq4k0siUK3YfysWrDKnl1uWsNwP4IfAJd9+Q305byiG3TkSCrOXWtfgX4L7OFCYRqTyp5dYl6x0AfAqd2yQiHUg7t+4ZoN2pnIgI6KoEIpJRKk4ikkkqTiKSSSpOIpJJyq2TihPr3L62mOk7nxg0cxKRTFJxEpFMUnESkUxScRKRTFJxEpFMUnESkUxKM7fOzGyqmb1gZpvMbLWZ3WhmfdMag4h0H2me53QmMBu4DHgE2Af4MTAMGJPiOESkG0hzt+5k4E53/1d3f9jdfw78CDjazHZJcRyVTaGaBbG1a6nZZ8+P9FGzz54K7kxRmrl11cA7eQ/dQLiEik6pTYtCNQvitbVsnfw9qi8KfVRfdCFbJ05ScGeKYl6m9xvA/cCxObl1NxNy65aY2WnA1YRL+D4OjABuBZa6+4SO2tdleiPasoVenz+QreMmUDX/JpqWPRM/963YfXSh/YLf81u2UPOF0TSPG0/PeTfTuGx5QX3oz1c6VshleqMdc3L3hWbWklu3hrzcOnf/dzPrA9zDhzO2u4ApscYgBVKoZsF9bLnyKmqOPpLGexcquDNlqeXWmdlJwCXAxcCXgQnAQcC8thpTqGbxKFSzMFULkz5eUHBn2lLJrTOzHsCNwA3ufoW7P+buvwAmAmPN7HNttKdQzSJQqGYn+li8mMbHl9DzhtkK7kxZWrl1/YHdgGfyHrI8+blXzHFIOxSqWXAfvc48nS3XXIcPG0bzuedT/YNpHT9OoolWnJLcul8CC4FDgLeBucl/rwM2AfkzpAOTn6tijUPap1DNAvuYdxPbanP6+N7p9Fi5gh4K7kxNzG/rfkI4jjTS3V9P4qIeAya6+wIzu44wq5oJ1BFmSz8CVgMHu/u29trXt3USiy42V3qpfVuXk1s3Nje3zsxacusWAxcCDcBYQuLvOsLxqYs7KkwiUnlSza0jzJpmxuhTRMqbrkogIpmk4iQimaTiJCKZpOIkIpmk4iQimaRQTak4Tc3FPXOlpnq7L65lB2jmJCKZpOIkIpmk4iQimaTiJCKZpOIkIpmk4iQimZRqcTKzSUkaS6OZrTCzU9LsX0S6jzQTf08Cfg7cAfwTIanlFjM7Nq0xiBTK6tfSZ78RWE5uXZ/9RmCrV5V0XJUkzZnTDOBWd7/Q3R9w93OAO4HLUxyDSEF8aC2Nk6bQ+5LpAPS+ZDpNE07Fh+9R2oFVkDRDNfcGFuU99AFgpJkNjzEOkZiazjybqqeepNec6+m5pI7Gs88r9ZAqSqyLzW0ws4nA/WZ2e06o5lGE64nXEFJ9m/Ie2nJ/P8LlekWyo7qazTOvZJcxR7HxnvuUW5eyaLt17r6QEGgw18xGkROq6e7rCYEHB+U97PPJz79prU3l1kmp9XxgIdsGDabHiy+UeigVJ7VQTeD/AFPM7Dgz65ccIB+b/F+rf4mp3DoppR7PPkPPhxbz3qN11Nx4PabculSlEqqZmAncC9xOmEXNIRwkB/hLzHGIdJk7O33/DDZfdQ1eO4zGc86j9/QLSj2qipJWqCbuvsndTwAGAfsDuxPy6pqAp2OOQ6SrquffzLbaYTQfHnLrmiafRtXKlVQ9rty6tMTMretNKDKvAicAzwIr3P2YNtbvQfi27g13/3ZH7Su3TmJp3LK1qO3rek4dSy23LnE5YVZ0uLtvMrNxwGNmNi4J1TwaGA6sAAYCk4BPAd+NOAYRKRNphmo2A1OAEcBmQmz5eHf/c4wxiEh5STNUs57wJysiIh3SVQlEJJNUnEQkk1ScRCSTVJxEJJOUWycVR+chdQ+aOYlIJqk4iUgmqTiJSCapOIlIJqk4iUgmqTiJSCbFCjgYbWYLzOwlM9tmZgvaWK/GzK4xszfNbKOZ/c7M9ogxBhEpL7FmTgcTggyeov2rWt4AjAPOB44H+gOLkmtBiYh8INZJmDe6+/UAZtbqFeHMbCgwEZjg7rcky54D/gScAtwcaSwiUgY6nDkVkknn7q0GFOT5evLzjpYFybWcngCO7MygRaT8dVic3H0DYcYz1szGAORk0n3X3TcV2NengPokBCHXiuT/REQ+UNBunbsvNLOWTLo15GTSdaKvfsCGVpavT/5PROQDnTkg3l4mXVEoVFOkchVcnDrIpCvEeuDjrSzvl/xfa30qVFOkQhVcnNrLpCvQSqDWzHbJW/6p5P9ERD5QUHFKzkP6JSEx5RBCYu/cTvb1QPLzmzntDgEOBe7rZFsiUuYKPc+po0y6AcCXk3X7AcPN7HgAd/9N8rPezOYRoqIMWEeII18N/N9YGyQi5aHD4lRgJt0I4D9zHrYncFhLEznLzyIcVL8W2Bl4FDjJ3Td3cTtEpMx0WJw6kUnXbrRw8phG4NzkJiLSJl2VQEQyScVJRDJJxUlEMknFSUQyScVJRDLJ3L3UYyiIma0jnBNVqP5AQ5GGk1Yf2obSt59GH5W4DcPdvd2/Ses2xamzzGyZu4/uzn1oG0rffhp9aBtap906EckkFScRyaRyLk6d/cPkLPahbSh9+2n0oW1oRdkecxKR7q2cZ04i0o2pOIlIJpV1cSo0ibgL7U8xs0Vm9oaZvWNmdWb29Y4fWXD7pyfXUF9vZpvM7A/Jsg6vALGD/Y0ys61mFu18GDObYWbeyu2IWH0k/exsZrPMbI2ZbTazV83sgkhtr2pjG9zMBkfqw8xsqpm9kLzWq83sRjPrG6P9pI9JSZxbo5mtMLNTutBW0VO+Y4VqZlVLEvFSoE8R2r8IuB/4KeE6VacA95vZse5+d4T2+wF3As8Bm4DDgTmEa2H9JEL7H0gK3hzCRQBjvy/eAfKL0YpYjZtZFXAv4YKIFwFrgb2A3SJ18U3CtfNz3QRsbbnGWQRnArOBy4BHgH2AHwPDgDFdbdzMTgJ+DlwFPETIirzFzN5z97t2oMlCP1s3ENK9z+HDC0wuMrP9O7yOm7uX7Q3okfPvZcCCyO33b2XZ74GHi7hNtwLPFaHdscArhA9EQ8R2Z8Rsr40+vkcIyRhYzH5y+hsENAM/iNjmUuD2vGVnAVuBXSK0/xLwH3nLbgee38H2OvxsAUOT5+k7Oct2B5qAUzvqo9vu1kVMIu5K+63t/iwHhsRov42HvgX0irUNyf0+wCzgfMIbpyBd2IaCFdjHBOA2d3+zSO3nO4FwSOTXEfuoJswwc20gXMSx3d34AtvfG1iU99AHgJFmNryz7RX42epayncav2mK+BvsG4ADY5L74wm/ab7Yyrqdnjl1pv2cxzwN3BOzfcJu1q7JC7oBODPmNgBXAw8m/55BJ2Y6HbWftNdM+LurLYTifVys14FQqLcAlxBmle8TPuS/AD5WjNeZMDuui/leIiQbvQf8I2E3aRTwIjA/wnPUL/m/E/MeMz5ZfkQxPluEXchVrSz/KfBCh9vUmSc4izfCfvQbyYu5AZjVxno7tFtXaPvJuhOSF/Qrsdon7EJ4zu2ymNsA7Es4nrV/cn8GndwN66D9UwiXZf4KcAzwu2Q7OlugWu0DGJy09y5wF/A1YCIhIei2IryPhgPb6MQviE681hckBaDltb4TqI70OrwFXJO3/r8n/ZxcjM8W4bjcM60svxx4rcPt6ewTnLUbYUbxKrAZeB6o6cwTGLH9AwkHxWfHbJ8waxpNCIyYkax3Qaw+CAf0f5Zzf0eKU0HPUbKuEVKjt3vT7kgfhF1oB9bkfpCB7yTL94r8Ov+AMBP8RMz3EnASocD+EPh7wkylHrglUvszCTOz4wgzqZOS+9vNqGJ9tiq+OCUbe0PyJJ/Tzjo7fEC8o/YJaTN/Ae4Gqoox/px1LyXsuuzc1T4Iu4nvEtJz+ia3Kwm/Zfu2V2S6uA3TCLOPTj1XbWzDzsmyX+WtOzRZ/k+R30fLgUUx36uE41cNwMy8dVt2rT7X1W1Inqfb+HBW9hbhGKMDh3XxOWlvt+5PrSyvmN26gwjHHJ5OnvBBnXkCu9o+MBB4GXiyswWjM+PPWf/o5M0yoqt9AGfz0V3G/NvFRdqG8wm7LwUXp/b6AFYBv85bvzbZhqNibQNhF9iBCTHfq8l7yIFvtfLe2m55F7fhE8BngN6Er/gbaePYXFc/W4TDHM3kfdsIPEjeN5OttrsjT3JWbskT/CLwW8JvhpeBuzvzBHalfcK0d1myfEAxx5/zmCsI0+yCCmF7fRBmF4fl3RYQDigfRrggWNRt4MPduqcjvg5zCOc29cpZNo5QAIfF2gbCLm8j0Dfma508JxuBK/IecyShOB1UhNehB7AYuLVYny0+PJXglJxlQyjwVIJOPcFZuxFORHwbGJzcPzh5Q45L7g8g/HY4Hvgf4OGW+5HafyB5ok8G/i73Fqn9p4CphIO8/whcR/hNdmWs56iV9WfQuW/rOtqGRwnn63ydcDLjvYRdumMi9jGccMD2nuQDPZlw3tNNMZ8jwomjdxXpvXod4ZfOJcBXgUnAa4RC3iNC+0cDZyRtn0iYvfwZ2L2Yny3CQfUGwnl0RxDO53oZ6N3hNu3IE52FW86TdXLe8quTN2rLrKDVXZZI7be5SxSp/ZuAPxK+TWtI3qinkFxNIkYfrTxmBgUWpwK3YR7hoOr7hNnB48CRMV/n5P7opO33Cd8wzS7oA1B4+wfQzsHjCM9TDeHs9pXJ672acBmSDk8sLbD9I/jwLw3eBn5FG7PKmJ+tZLuuJZwdvpHwy+mThTxvumSKiGRStz1DXETKm4qTiGSSipOIZJKKk4hkkoqTiGSSipOIZJKKk4hkkoqTiGTS/wJ0bADkLomKZwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.728110599078341\n",
      "0.728110599078341\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9828571428571429\n",
      "0.9828571428571429\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9088888888888889\n",
      "0.9088888888888889\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.981283422459893\n",
      "0.981283422459893\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9304812834224598\n",
      "0.9304812834224598\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9475308641975309\n",
      "0.9475308641975309\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9257142857142857\n",
      "0.9257142857142857\n"
     ]
    },
    {
     "data": {
      "image/png": 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Jal2rt4a2Amuq5TXAlmZ2rsKDiAhq8ws/aLEeSVKTWg2CW4BLI+JZ4JJqnYjoi4g7RzpFxLeB+4CLI2JXRPRXm/40InYCO4FTgS+0WI8kqUnHvTU0nsx8Gbi4TvsA8MlR6x9osP9FrRxfktQ631ksSYUzCCSpcAaBpO739L1w29+HDQtqn5++t9MVTSstzRFIUts9fS/8xXVw6EBtff8LtXWAlVd1rq5pxCsCSd1tx81vhcCIQwdq7ZoUBoGk7rZ/V3PtappBIKm7zV/eXLuaZhBI6m4Xfx5mzT26bdbcWrsmhUEgqbutvAo+fDvMPwOI2ucP3+5E8STyVUOSut/Kq3zibyOvCCSpcAaBJBXOIJCkwhkEklQ4g0CSCmcQSFLhDAJJKpxBIEmFMwgkqXAGgSQVziCQpMIZBJJUOINAkgpnEEhS4QwCSSqcQSBJhTMIJKlwBoEkFc4gkKTCGQSSVDiDQJIKZxBIUuEMAkkqnEEgSYVrKQgiYlFEPBQRz1afF9bpc15EfDcifhgRT0fEx0ZtOysiHo2I5yLinoiY3Uo9kqTmtXpFcAOwIzPPAXZU62P9DPiNzPxl4HLgyxGxoNr2JeC2zHwn8FPgEy3WI0lqUqtBsBrYXC1vBq4Y2yEzf5SZz1bLLwJ7gd6ICOAi4P7x9pcktVerQbA4M/dUy4PA4vE6R8SFwGzgx8DbgH2ZebjavAtYNs6+10bEQEQMDA0NtVi2JGnEzON1iIiHgSV1Nt04eiUzMyJynK+zFLgbWJOZw7ULgl9cZt4B3AHQ19fX8DiSpOYcNwgy85JG2yLipYhYmpl7qif6vQ36nQJsA27MzO9VzS8DCyJiZnVVsBzY3fQjkCS1pNVbQ1uBNdXyGmDL2A7VK4G+Bnw1M0fmA8jMBB4BPjre/pKk9mo1CG4BLo2IZ4FLqnUioi8i7qz6XAX8Y+BfRsRT1cd51bZPA9dHxHPU5gy+0mI9kqQmRe0X8xNLX19fDgwMdLoMSTqhRMTjmdk3tt13FktS4QwCSSqcQSBJhTMIJHW9bc9v47L7L2Pl5pVcdv9lbHt+W6dLmlaO+z4CSeqkbc9vY8N3NnDwyEEA9ry+hw3f2QDAqrNXdbCy6cMrAkldbdMTm94MgREHjxxk0xObOlTR9GMQSOpqg68PNtWu5hkEkrraknn1/tRZ43Y1zyCQ1NXWXrCWOT1zjmqb0zOHtRes7VBF04+TxZK62siE8KYnNjH4+iBL5i1h7QVrnSieRAaBpK636uxVPvG3kbeGJKlwBoEkFc4gkKTCGQSSVDiDQJIKZxBIUuEMAkkq3An5ryojYgj420n4UqcCP5mErzNdOB5Hczze4lgc7UQdj7dnZu/YxhMyCCZLRAzU+/+dpXI8juZ4vMWxONp0Gw9vDUlS4QwCSSpc6UFwR6cL6DKOx9Ecj7c4FkebVuNR9ByBJMkrAkkqnkEgSYUrNggi4vKIeCYinouIGzpdz1SLiLsiYm9E/GBU26KIeCginq0+L+xkjVMlIs6IiEci4q8i4ocRsbZqL3U85kTE9yPi/1bj8ftV+1kR8Wj1M3NPRMzudK1TJSJ6IuLJiPh6tT6txqLIIIiIHuA/A/8UeDfw6xHx7s5WNeX+GLh8TNsNwI7MPAfYUa2X4DDwO5n5buB9wL+tzodSx+MN4KLM/AfAecDlEfE+4EvAbZn5TuCnwCc6WONUWwv89aj1aTUWRQYBcCHwXGY+n5k/B/4nsLrDNU2pzPw/wCtjmlcDm6vlzcAVU1pUh2Tmnsx8olp+ldoP/DLKHY/MzNeq1VnVRwIXAfdX7cWMR0QsB1YBd1brwTQbi1KDYBnwwqj1XVVb6RZn5p5qeRBY3MliOiEiVgDnA49S8HhUt0KeAvYCDwE/BvZl5uGqS0k/M18Gfg8YrtbfxjQbi1KDQMeRtdcVF/Xa4og4Gfhz4FOZ+Xejt5U2Hpl5JDPPA5ZTu4J+V4dL6oiI+BCwNzMf73Qt7VTqP6/fDZwxan151Va6lyJiaWbuiYil1H4bLEJEzKIWAn+amQ9UzcWOx4jM3BcRjwC/AiyIiJnVb8Kl/My8H/i1iPhVYA5wCrCJaTYWpV4RPAacU838zwauBrZ2uKZusBVYUy2vAbZ0sJYpU93z/Qrw15l566hNpY5Hb0QsqJbnApdSmzd5BPho1a2I8cjM9Zm5PDNXUHue+GZmfpxpNhbFvrO4SvgvAz3AXZn5xQ6XNKUi4s+AD1L7c7ovATcBDwL3AmdS+zPfV2Xm2AnlaSci/hHwbWAnb90H/gy1eYISx2MltQnQHmq/LN6bmTdHxNnUXlixCHgS+BeZ+UbnKp1aEfFB4Hcz80PTbSyKDQJJUk2pt4YkSRWDQJIKZxBIUuEMAkkqnEEgSYUzCCSpcAaBJBXu/wMySm8/Uj60AAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.8952702702702703\n",
      "0.8952702702702703\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7142857142857143\n",
      "0.7142857142857143\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9942857142857142\n",
      "0.9942857142857142\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.8555555555555557\n",
      "0.8555555555555557\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Xj8psDFJyqdSty9tnCLAf+itds7a/8Xo2DxjIhi8cBsDaSVPY7tVFdJn7WIl7Vrjtb/r4GNZMmkLNq4voWkZjkNIz9zhVvpO6dU8DbxD+EvccsNDdR+ftNw34AbCzuzfmx2nJ/sNH+GOPPxmlr83Rek6F0XpOEsOokSN46qkFrX7o0qxb1+RfgD+1JzGJSPVJrW5dst9+wFB0bZOItCHtunXPAsU/fhKRsqdVCUQkk5ScRCSTlJxEJJOUnEQkk8qmbp0B23Uu71yaxnVIxabrkCQt5f1pF5GKpeQkIpmk5CQimaTkJCKZpOQkIpmk5CQimZRm3Tozs6lm9pKZrTOzJWY23cx6pdUHESkfaV7ndCpwJXAB8CjwGeBiYBAwJsV+iEgZSDM5nQjc7u4/Su4/YmZdgSvMbHt3X5tiX0Qk49KsW1cDrMp7aCPh4m8toyIiHxMlOSWrWk4CxpnZGICcunXjk5UxfwUcZ2ZfMbOeSfmo7wMzk8IIIiJbRDusc/fZZtZUt24peXXr3P0XZtYTuIutSfEOYEqsPohI5Uitbp2ZnQCcC5wDHAxMBA4Arm8pWG5Rzbr66iqqKVLtUqlbZ2adgOnAVe5+ibs/5u43sPVQcP8W4m0pqtmntnqKaopIenXraoGdgGfzHvJM8nWPmP0QkfIXLTkldetuBGYDBwErgRnJj+uAdUD+DGl48nVxrH6ISGWIeZ1TU926Q919XVKv7jEzm+DuM5OT5aeb2TpgLmG2dD4wD3gqYj9EpAJESU45devG5datM7OmunUPEi4bqAfGESr+1hHOT53j7h/F6IeIVI5U69YBFyU3EZFWaVUCEckkJScRySQlJxHJJCUnEckkJScRyaSyKarpgLsXLb6ZVm2pFovrirt02G59ti9q/GqhmZOIZJKSk4hkkpKTiGSSkpOIZJKSk4hkkpKTiGRSqsnJzE5JqrFsMLOFZjY2zfZFpHykWfH3BOCXwG3AMcB9wE1m9tW0+iBSqO3eXM7uI/eiU8NKADo1NrD7yL2oWbakxD2rHmnOnKYBt7j79939fnc/HbidsEidSKZs6j+AxpP+jb4XhxodfS4+j8axJ7Nx4OAS96x6pFlU89PAA3kPvR/Yy8z0ikvmrJw8lW5Pz6f3ddfQ/cknWPnN/yh1l6pKrMXmGs1sEnCfmc1y9z/mFNU8iFCNxYAP8x7adP+zgObLki01NdSdexEDT/wqS397J9TUlLpHVSXaYZ27zyYUNJiRVPPdUlTT3RsIBQ8OyHvY55Kvn2ouZm7dunrVrZMS2P7h+9m4cz+6Lnq51F2pOqkV1QSuBaaY2dfNrHdygnxc8rNm1xDPrVtXq7p1krKuLz7P9o89zJK7HuFTM66m84p3St2lqpJKUc3ERcC9wCzCLOpqwklyAL3qki3u9PvBd1hx/k/YNGAgK7/1H/T98X+WuldVJa2imrj7Onc/jlA+ah+gP6Fe3YfA0zH7IdJRO95yAxt3HcC6g78IQMOEyXR9bRF/88SfS9yz6mGx1khKimo+DbwBHAc8Byx099Et7N+J8Ne6Fe7+r23F33/4CJ87b36UvrbQn6LFlmzRek6lN2rkCJ56akGrH7o0i2oeDQwGFgJ9gVOAocD4iH0QkQqRZlHNTcAUYE9gPaFs+cnu/maMPohIZUmzqOZywr+siIi0SasSiEgmKTmJSCYpOYlIJik5iUgmlU3dOkPXIkkcug6pPGjmJCKZpOQkIpmk5CQimaTkJCKZpOQkIpmk5CQimRSrwMEIM5tpZovM7CMzm9nCfl3N7Gdm9q6ZrTWze8xstxh9EJHKEmvmNIpQyGA+ra9qeRUwATgTOBaoBR5I1oISEdki1kWY09395wBmtqC5HcxsADAJmOjuNyXbngf+CowFfhWpLyJSAdqcORVSk87dmy1QkOdLydfbmjYkazn9L3BkezotIpWvzeTk7o2EGc84MxsDkFOTbry7ryuwraHA8qQIQq6Fyc9ERLYo6LDO3WebWVNNuqXk1KRrR1u9gcZmtjckPxMR2aI9J8Rbq0lXFLlFNetUVFOkqhScnNqoSVeIBmDHZrb3Tn7WXJtbimr2UVFNkapScHJqrSZdgV4BBppZ/noVQ5OfiYhsUVBySq5DupFQMeUgQsXeGe1s6/7k69dy4u4KfB74UztjiUiFK/Q6p7Zq0vUBDk727Q0MNrNjAdz9D8nX5WZ2PaFUlAF1hHLkS4D/iTUgEakMbSanAmvS7Qn8PudhuwOHNIXI2X4a4aT65UB3YA5wgruv7+A4RKTCtJmc2lGTrs01dJOT6N9NbiIiLdKqBCKSSUpOIpJJSk4ikklKTiKSSUpOIpJJ5u6l7kNBzKyOcE1UoWqB+iJ1J602NIbSx0+jjWocw2B3b/V/0somObWXmS1w9xHl3IbGUPr4abShMTRPh3UikklKTiKSSZWcnNr7j8lZbENjKH38NNrQGJpRseecRKS8VfLMSUTKmJKTiGRSRSenQisRdyD+FDN7wMxWmNkqM5trZl9q+5EFx//3ZA31BjNbZ2YvJNvaXAFiG9sbZmabzSza9TBmNs3MvJnbEbHaSNrpbmaXmtlSM1tvZm+Y2dmRYi9uYQxuZrtEasPMbKqZvZS81kvMbLqZ9YoRP2njlKSc2wYzW2hmYzsQq+hVvmMV1cyqpkrE84CeRYj/Q+A+4BrCOlVjgfvM7KvufmeE+L2B24HngXXAocDVhLWwfhoh/hZJwruasAhg7PfFKiA/GS2MFdzMOgP3EhZE/CGwDNgD2ClSE18jrJ2f6zpgc9MaZxGcClwJXAA8CnwGuBgYBIzpaHAzOwH4JfAT4GFCrcibzGyNu9+xDSEL/WxdRajufTpbF5h8wMz2aXMdN3ev2BvQKef7BcDMyPFrm9n2OPBIEcd0C/B8EeKOA14nfCDqI8adFjNeC218k1Ako28x28lprx+wCfhexJjzgFl5204DNgPbR4i/CLg5b9ss4MVtjNfmZwsYkDxPJ+Vs6w98CPxbW22U7WFdxErEHYnf3OHPM8CuMeK38ND3gC6xxpDc7wlcCpxJeOMUpANjKFiBbUwEbnX3d4sUP99xhFMiv4vYRg1hhpmrkbCIY6uH8QXG/zTwQN5D7wf2MrPB7Y1X4GerY1W+0/hNU8TfYF8GHBiT3D+Z8JvmwGb2bffMqT3xcx7zNHBXzPiEw6weyQvaCJwacwzAZcBDyffTaMdMp634SbxNhP+72khI3l+P9ToQEvVG4FzCrPIDwof8BmCHYrzOhNnx3JjvJUJlozXAVwiHScOAl4FfR3iOeic/Oz7vMScn248oxmeLcAi5uJnt1wAvtTmm9jzBWbwRjqNXJC9mI3BpC/tt02FdofGTfScmL+gXYsUnHEJ4zu2CmGMAhhDOZ+2T3J9GOw/D2og/lrAs8xeA0cA9yTjam6CabQPYJYm3GrgDOByYRKgQdGsR3keDgY9oxy+IdrzWZycJoOm1vh2oifQ6vAf8LG//XyTtnFiMzxbhvNyzzWy/EHirzfG09wnO2o0wo3gDWA+8CHRtzxMYMf5wwknxK2PGJ8yaRhAKRkxL9js7VhuEE/r/nXN/W5JTQc9Rsq8RqkZ/4k27LW0QDqEdWJr7QQZOSrbvEfl1/h5hJrhzzPcScAIhwf4A+CfCTGU5cFOk+BcRZmZfJ8ykTkjuf2JGFeuzVfXJKRnsVcmTfHor+2zzCfG24hOqzbwD3Al0Lkb/c/Y9j3Do0r2jbRAOE1cTquf0Sm7/Rfgt26u1JNPBMZxFmH2067lqYQzdk22/zdt3QLL9mMjvo2eAB2K+Vwnnr+qBi/L2bTq02r+jY0iep1vZOit7j3CO0YFDOvictHZY99dmtlfNYd0BhHMOTydPeL/2PIEdjQ/0BV4D/tLehNGe/ufsf3TyZtmzo20A3+Hjh4z5t3OKNIYzCYcvBSen1toAFgO/y9t/YDKGo2KNgXAI7MDEmO/V5D3kwDeaeW99YnsHx7AzsDfQjfAn/g20cG6uo58twmmOTeT9tRF4iLy/TDYbd1ue5Kzckif4ZeBuwm+G14A72/MEdiQ+Ydq7INnep5j9z3nMJYRpdkGJsLU2CLOLQ/JuMwknlA8hLAgWdQxsPax7OuLrcDXh2qYuOdsmEBLgoFhjIBzybgB6xXytk+dkLXBJ3mOOJCSnA4rwOnQCHgRuKdZni62XEozN2bYrBV5K0K4nOGs3woWIK4FdkvujkjfkhOR+H8Jvh2OB/wMeabofKf79yRN9IvAPubdI8ecDUwkneb8CXEH4TfZfsZ6jZvafRvv+WtfWGOYQrtf5EuFixnsJh3SjI7YxmHDC9q7kAz2ZcN3TdTGfI8KFo3cU6b16BeGXzrnAF4FTgLcIibxThPhHA99OYh9PmL28CfQv5meLcFK9nnAd3RGE67leA7q1OaZteaKzcMt5sk7M235Z8kZtmhU0e8gSKX6Lh0SR4l8HvEr4a1p98kYdS7KaRIw2mnnMNApMTgWO4XrCSdUPCLODPwNHxnydk/sjktgfEP7CdGVBH4DC4+9HKyePIzxPXQlXt7+SvN5LCMuQtHlhaYHxj2DrfxqsBH5LC7PKmJ+tZFyXE64OX0v45fS3hTxvWjJFRDKpbK8QF5HKpuQkIpmk5CQimaTkJCKZpOQkIpmk5CQimaTkJCKZpOQkIpn0//w+DMFgmswxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n",
      "1.0\n"
     ]
    }
   ],
   "source": [
    "import pickle\n",
    "import itertools\n",
    "import numpy as np\n",
    "from sklearn import metrics\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.metrics import roc_auc_score\n",
    "%matplotlib inline  \n",
    "import os\n",
    "directorys=['syn_plot_figures']  # temp models\n",
    "for directory in directorys:\n",
    "    if not os.path.exists(directory):\n",
    "        os.makedirs(directory)\n",
    "\n",
    "def softmax(a,T):\n",
    "    return np.exp(a/T)/sum(np.exp(a/T))        \n",
    "        \n",
    "aucs=[]\n",
    "p=10\n",
    "# gound_truth_tsang\n",
    "ground_truth_dict={}\n",
    "ground_truth_dict['0']=[(0,1),(1,2),(0,2),(2,4),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9),(1,6)]\n",
    "ground_truth_dict['1']=[(0,1),(1,2),(0,2),(2,4),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9),(1,6)]\n",
    "ground_truth_dict['2']=[(0,1),(1,2),(2,3),(3,4),(3,6),(4,6),(3,7),(4,7),(6,7)]\n",
    "ground_truth_dict['3']=[(0,1),(1,2),(2,3),(3,4),(3,6),(4,6),(3,7),(4,7),(6,7),(0,3)]\n",
    "ground_truth_dict['4']=[(0,1),(0,2),(1,2),(3,4),(5,6),(7,8),(7,9),(8,9)]\n",
    "ground_truth_dict['5']=[(0,1),(2,3),(4,5),(4,7),(5,7),(7,8),(7,9),(8,9)]\n",
    "ground_truth_dict['6']=[(0,1),(2,3),(3,4),(2,5),(3,5),(4,5),(3,6),(4,6),(5,6),(3,7),(4,7),(5,7),(6,7),(6,8)]\n",
    "ground_truth_dict['7']=[(0,1),(2,3),(2,4),(3,4),(2,5),(4,5),(2,6),(3,6),(4,6),(7,8)]\n",
    "ground_truth_dict['8']=[(0,1),(0,2),(1,2),(0,3),(1,3),(2,3),(0,4),(1,4),(2,4),(3,4),(4,5),(5,6),(5,7),(6,7),(8,9)]\n",
    "ground_truth_dict['9']=[(0,1),(2,4),(3,4),(2,6),(4,6),(6,8)]\n",
    "\n",
    "featurename=['x'+str(x+1) for x in range(18)]\n",
    "for seed in range(5):\n",
    "    for datasetindex in range(10):\n",
    "        fr = open('UCB/'+str(datasetindex)+'.csv'+str(seed)+'UCB.txt','rb')\n",
    "        summary=(pickle.load(fr))\n",
    "        fr.close()\n",
    "        plt.scatter(range(len(summary['ucb'])),summary['ucb'])\n",
    "        plt.scatter(range(len(summary['ucb'])),summary['estimate'])\n",
    "        plt.scatter(range(len(summary['ucb'])),summary['lcb'])\n",
    "\n",
    "        Larms=[]\n",
    "        for i in itertools.combinations(range(10),2):\n",
    "            Larms.append(i)\n",
    "\n",
    "        # print top k arms,(index start from 0)\n",
    "        #for i in np.argpartition(summary['ucb'], range(15))[:15]:\n",
    "        #    print(Larms[i],summary['ucb'][i])\n",
    "\n",
    "        Hessian=np.zeros([p,p])\n",
    "        \n",
    "        #softmax estimate\n",
    "        estimate=np.abs(summary['estimate'])\n",
    "        #estimate=softmax(estimate,0.01)\n",
    "        \n",
    "        for i in range(len(Larms)):\n",
    "            Hessian[Larms[i][0],Larms[i][1]]=estimate[i]\n",
    "        Hessian=Hessian.T\n",
    "        fig, ax = plt.subplots()\n",
    "        im = ax.imshow(Hessian,cmap=plt.cm.Blues)\n",
    "\n",
    "        # We want to show all ticks...\n",
    "        ax.set_xticks(np.arange(10))\n",
    "        ax.set_yticks(np.arange(10))\n",
    "        # ... and label them with the respective list entries\n",
    "        ax.set_xticklabels(featurename,fontsize=15)\n",
    "        ax.set_yticklabels(featurename,fontsize=15)\n",
    "\n",
    "        # Rotate the tick labels and set their alignment.\n",
    "        #plt.setp(ax.get_xticklabels(), rotation=45, ha=\"right\",\n",
    "        #         rotation_mode=\"anchor\")\n",
    "\n",
    "        # Loop over data dimensions and create text annotations.\n",
    "        for k in ground_truth_dict[str(datasetindex)]:\n",
    "            i,j=k[1],k[0]\n",
    "            text = ax.text(j, i, 'X',\n",
    "                            ha=\"center\", va=\"center\", color=\"r\")\n",
    "\n",
    "        #ax.set_title(\"Harvest of local farmers (in tons/year)\")\n",
    "        fig.tight_layout()\n",
    "        fig.savefig('syn_plot_figures/syntheticF'+str(datasetindex+1)+'_seed_'+str(seed)+'.pdf',bbox_inches='tight',dpi=fig.dpi,pad_inches=0.1)\n",
    "        plt.show()\n",
    "\n",
    "\n",
    "\n",
    "        ground_vec=np.zeros(45)\n",
    "        for i in range(45):\n",
    "            if Larms[i] in ground_truth_dict[str(datasetindex)]:\n",
    "                ground_vec[i]=1\n",
    "\n",
    "        rank=np.concatenate([np.abs(summary['estimate']).reshape(45,1),ground_vec.reshape(45,1)],axis=1)\n",
    "        rank = rank[np.argsort(-rank[:,0])]\n",
    "\n",
    "        #rank[:,0]=-np.array(range(45))\n",
    "\n",
    "        fpr, tpr, thresholds = metrics.roc_curve(rank[:,1], rank[:,0], pos_label=1)\n",
    "        print(roc_auc_score(ground_vec,np.abs(summary['estimate'])))\n",
    "        print(metrics.auc(fpr, tpr))\n",
    "        aucs.append(metrics.auc(fpr, tpr))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Average AUC value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "std [0.02125626 0.01363374 0.02071353 0.02689966 0.         0.01676983\n",
      " 0.06259483 0.00582745 0.05397759 0.        ]\n",
      "mean [0.95721925 0.9171123  0.98888889 0.97314286 1.         0.92094595\n",
      " 0.70046083 0.988      0.94444444 1.        ]\n",
      "average mean 0.9390214516717363 0.00910864826331776\n"
     ]
    }
   ],
   "source": [
    "auctable=np.array(aucs).reshape(5,10).T\n",
    "print('std',np.std(auctable,axis=1))\n",
    "print('mean',np.mean(auctable,axis=1))\n",
    "print('average','mean',np.mean(auctable),np.std(np.mean(auctable,axis=0)))"
   ]
  }
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